Weighted Littlewood-Paley Theory and Exponential-Square Integrability

By Michael Wilson. 2007

203 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/aedff317331b359cdbf1cf6b80f85d78622249f8

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In Applied Mathematics

Citations in the corpus

New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (2009, background): “For more information and a lively exposition about these spaces the reader may consult the upcoming book by Wilson [51] or the classical one [47].”
A Fractional Muckenhoupt–Wheeden Theorem and its Consequences (2013, background): “This equivalent condition was discovered independently by Fujii [8] and Wilson [33, 34] (see also [35]).”
End‐point estimates for iterated commutators of multilinear singular integrals (2010, unknown): “See, for example, [14] and the reference in [8].”
Sharp weighted estimates for classical operators (2010, methodology): “His proof uses the intrinsic square function introduced by Wilson [55].”
One and two weight norm inequalities for Riesz potentials (2012, background): “Independently, Fujii [8] and Wilson [41, 42] (also see [43]) showed that w ∈ A∞ if and only if w ∈ A∞.”
Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals (2010, background): “1, on the pointwise estimate Sψ(Tf )(x) cGα(f )(x) (proved in [23,24]), and on a version of the Chang–Wilson–Wolff theorem [4] proved in [22].”
Intrinsic square functions on the weighted Morrey spaces (2011, background): “In [25] and [26], Wilson has established the following theorems.”
Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents (2014, background): “The following Lemma 2.13 is just from [28, Theorem 2.6], which, in the case when s = 0, was first proved by Wilson [44, Theorem 2].”